Finding the Third Proportional to 37,731 and 81,258
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Solution
The third proportional to 37,731 and 81,258 is: 174,998.35
Step by Step Solution
- Step 1: Write the proportion equation
37,731 : 81,258 = 81,258 : x - Step 2: Convert to fraction form
37,731/81,258 = 81,258/x - Step 3: Cross multiply
37,731x = 81,258 × 81,258 - Step 4: Simplify right side
37,731x = 6,602,862,564 - Step 5: Solve for x
x = 6,602,862,564/37,731 - Step 6: Final answer
x = 174,998.35
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.